A number sequence is provided below with one term omitted. Choose the appropriate option from the choices given to complete the pattern.
-72, -148, ?, -604, -1212, -2428, -4860
Correct Answer :
-300
Solution :
The correct answer is -300.
To find the missing term in the sequence, let us analyze the pattern governing the relationship between consecutive numbers.
First, observe the transition from the first term to the second term:
This shows that each term is obtained by multiplying the previous term by 2 and then subtracting 4.
Now, applying this pattern to the second term (-148) to find the missing third term (?):
To ensure this pattern is consistent throughout the entire sequence, let us verify the remaining terms using our calculated value of -300:
Calculating the 4th term:
Calculating the 5th term:
Calculating the 6th term:
Calculating the 7th term:
Since the pattern matches every term in the given series perfectly, the missing number is -300.
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